Q. The figure shows the acceleration-time graph of a particle. Which of the following represents the corresponding velocity-time graph? ( consider initial velocity is zero )
Question

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Solution:

Since acceleration is constant, therefore there is uniform increase in velocity. So, the graph is a straight line slopping upward to the right. When acceleration becomes zero, velocity is constant. So graph is a straight line parallel to the time-axis in that duration. Again there is a constant acceleration so velocity of particle will increase linearly.